Find the radius with a volume of 180 cubic feet. Round your answer to the nearest tenth.

I need help! Quick!

The equation that can be factored and solved for the samller integer is x² + x - 72 = 0

The product of two consecutive integers is 72. The equation that represents the situation is as follows:

x(x + 1) = 72

where

Therefore,

x(x + 1) = 72

x² + x = 72

x² + x - 72 = 0

Therefore, the equation that can be factored and solved for the samller integer is x² + x - 72 = 0

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Answer:

20

Step-by-step explanation:

10 + 30 = 40

40 - 10 = 30

30 - 10 = 20

answer is 20

Answer:

20 bouncy Balls!

Step-by-step explanation:

10+30 - 20 = 20

The number of times Damian would pick a vanilla-flavored candy from the jar is 8 times.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The number of times Damian would pick a vanilla-flavored candy = number of vanilla flavored candy / total number of candies

20 / 125 = 0.16  

0.16 x 50 = 8 times

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Answer:

6h^2 - 19h + 15

Find two numbers that their sum is -19 and their product is 90.

Hence, the numbers will be -9 and -10

6h^2 - 9h - 10h + 15

3h(2h - 3) -5(2h - 3)

(2h - 3)(3h - 5)

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of [tex]\$800 \times 1.07^t[/tex].

We want the find the number of years n such that

[tex]\$856 \times 1.07^n = \$1400[/tex]

Solve for n :

[tex]856 \times 1.07 ^n = 1400[/tex]

[tex]1.07^n = \dfrac74[/tex]

[tex]\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)[/tex]

[tex]n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)[/tex]

[tex]n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}[/tex]

Answer:

25 years

Step-by-step explanation:

total = before × percent ( in decimal ) × time

1400 = 800 × 0.07 × t

1400 = 56 × t

1400 ÷ 56 = 25

t = 25

Hope this was helpful!

Answer:

f(-2) = -7

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given function.

[tex]\displaystyle f(x) = \frac{3}{2}x - 4[/tex]

Step 2: Find f(-2)

∴ the function when x = -2 is equal to -7.

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Topic: Algebra I

Answer:

Area = 3.3998

Perimeter = 2.9

Step-by-step explanation:

A method for calculating the area of a triangle when you know the lengths of all three sides.

Let a,b,c be the lengths of the sides of a triangle. The area is given by:

Area =  √  p  ( p − a )  ( p − b )  ( p − c )    

where p is half the perimeter, or  

a + b + c / 2

 p = 1.7 + 1.7 + 2.4 / 2 = 5.8 /  2 = 2.9

a = Area = 3.3998

Heron was one of the great mathematicians of antiquity and came up with this formula sometime in the first century BC, although it may have been known earlier. He also extended it to the area of quadrilaterals and higher-order polygons.

Answer:

C=2πr=2·π·4≈25.13274

Step-by-step explanation:

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

Step-by-step explanation:

Since both Maria and Bridgette belong to the same public pool they pay same rate for season pass and each class.

Let the season pass be y and swim class cost be x.

Then according to given we have the following equations

Solve the system by elimination, subtract the equations

Find y

The initial value is 45 and rate of change is 10.

The equation for the total cost would be

Answer:

The area formula of a circle is [tex]A=\pi* r^2[/tex] where r is the radius and in this case our r is 48 m.  So we would just plug in 48 m into r which would get squared and then multiplied by pi to give us [tex]7,238.23\ m[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

[tex]\pi[/tex]r²

Answer:

0.7°

Step-by-step explanation:

From the figure:

CF = 4000.2 miles, CE = 4000.01 miles

so FT = √CF² - CT², TE = √CE² - CT²

so FT = 40 miles, TE = 8.94 miles

so ½ × 4000.2 × 4000.01

xsin angle FCE = ½ × 4000 × 140 + 8.94

so sin angle FCE = 0.0122

so angle FCE = 0.7°

so m SB = 0.7°

HOPE THIS HELPS AND HAVE A NICE DAY <3

[tex]10 ^{2y} = 25[/tex]

[tex] {10}^{y} = .......[/tex]

[tex]10 ^{2y} = 25[/tex]

[tex] (10y {)}^{2} = {5}^{2} [/tex]

[tex]10y = 5[/tex]

[tex] \frac{1}{ {10}^{y} } = \frac{1}{5} [/tex]

[tex] {10}^{ - y} = \frac{1}{5} [/tex]

therefore, the correct answer is option E.

the correct option is option e.

hope this helps you

have a great day

please give me brainliest.

Answer:

The odds will be 5/13.

Step-by-step explanation:

There are 13 marbles total in this situation. 5 orange, 3 yellow and 5 black (5+3+5) will give us 13 as our overall total. Now, because we have 5 orange marbles available, we'll write this as a 5/13 odds/ chance of picking an orange marbles because it is how many orange marbles are present over how many marbles there are total.

Also! You can't simplify this any further, thus you'd have 5/13 odds.

Answer:

20 athletes

Step-by-step explanation:

Answer:

The hypotenuse has a length of 6

Step-by-step explanation:

Remark

The first step is to create the 2 equations needed to solve this problem.

Then substitute one into the other.

Equations

c^2 + a^2 + b^2 = 72  

c^2 = a^2 + b^2

Solution

c^2 + a^2 + b^2 = 72             The sum of the sides each squared of a right triangle = 72

c^2 = a^2 + b^2                      The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2

c^2 + c^2 = 72

2c^2 = 72

c^2 = 36

c = 6.                      minus 6 is meaningless

Assuming you have to pay 30 pounds for somebody handing it in to lost property, you'll have a 0.5 probability that you'll have to pay the 30 pounds if you lose the phone.
Also assuming there are no other ways to lose your phone, you have a 0.5 probability (50% chance?) to lose your phone.
Also assuming the "control measure" is the insurance and you won't have to pay a larger amount, you'll probably be better off paying the 30 pounds instead of the larger amount because you have such a high chance of losing your phone.
I apologize if I misunderstood the question.

Answer:

3 1/12

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

Plug in (-1,2) and (11, -7):

[tex]d=\sqrt{(11-(-1)^{2}+(-7-2)^{2} } = d=\sqrt{(12)^{2}+(-9)^{2} }=\sqrt{144+81} = \sqrt{225} = 15[/tex]

Answer:

3^4

Step-by-step explanation:

because I took the test

Answer

100 to 300

200 to 300

320 to 400

250 to 300

I hope this helps

Answer:

4 Miles

Step-by-step explanation:

Simple, if the boat heading North has traveled 16 miles then the boat heading East has only traveled 4 miles.

Answer:

40% or 2/5

Step-by-step explanation:

won = 6

total no. of people = 15

probability of winning = 6/15 = 2/5

2/5*100

=40%

[tex]~~~~~~1.5(x+4)-3 = 4.5(x-2)\\\\\implies 15(x+4) -30 =45(x-2)~~~~~~~~;[\text{Multiply both sides by 10]}\\\\\implies 3(x+4)-6=9(x-2)~~~~~~~~~~;[\text{Divide both sides by 5]}\\\\\implies 3x+12-6=9x-18\\\\\implies 3x+6=9x-18\\\\\implies 9x-3x = 18+6\\\\\implies 6x = 24\\\\\implies x = \dfrac{24}6\\\\\implies x =4[/tex]

One side of triangle is given equilateral triangle which means all the angles of the triangle is 60°

so we have angles of bigger triangle:-

( sum of all interior angles is 180°)

[tex]x + 60 + 95 = 180 \\ x = 180 - 60 - 95 \\ x = 120 - 95 \\ x = 25 \degree[/tex]

Answer:

10.25 × h + 25= t

Step-by-step explanation:

he gets 10.25 for every hour, so you do 10.25 × h, than for his extra bonus of 25 dollars a day, you add 25. than t shows the final earnings